An ambulance has to drive 300 km for reaching a patient. The ambulance driver drove 2/3 distance at the speed 50 km/hr. Find at how much speed should he drive for the rest of the way to reach patient in a total time of 7 hr?
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The values used in the problem statement make it easy to see that the first part of the trip (at 100 km/h) takes 1 hour,
and the second part (at 40 km/h) also takes 1 hour. Expressed in decimal form, the time left is 1.25 hour, and the distance that remains is 160 km.
Thus, a speed v = (160 km) / (1.25 h) = 128 km/h is needed.
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